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Finding the Fourth Proportional to 970.22, 1,338.18 and 839

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Solution

The fourth proportional to 970.22, 1,338.18 and 839 is: 1,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.22 : 1,338.18 = 839 : x
  2. Step 2: Convert to fraction form
    970.22/1,338.18 = 839/x
  3. Step 3: Cross multiply
    970.22x = 1,338.18 × 839
  4. Step 4: Simplify right side
    970.22x = 1,122,733.02
  5. Step 5: Solve for x
    x = 1,122,733.02/970.22
  6. Step 6: Final answer
    x = 1,157.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.